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A vessel in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is $14cm$ and the total height of the vessel is $13cm$. Find the inner surface area of the vessel.
A vessel in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is $14cm$ and the total height of the vessel is $13cm$. Find the inner surface area of the vessel.
CBSE | Class 10 | Exercise 16.2 | Maths | RD Sharma | Surface Areas And Volumes
A vessel in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is $14cm$ and the total height of the vessel is $13cm$. Find the inner surface area of the vessel.

As per the question it is given that,

Diameter of the hemisphere $=14cm$

Thus, the radius of the hemisphere $=7cm$

Total height of the vessel $=13cm=h+r$

Thus,

Inner surface area of the vessel $=2\pi r\left( h+r \right)$

$=2(22/7)(7)(13)$

$=572c{{m}^{2}}$

Hence, the inner surface area of the vessel is $572c{{m}^{2}}$

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